Do I leave him? Or try to work it out for the baby?

Hi ladies! I need your help! I am 10 weeks pregnant with my boyfriends baby. When I was 7 weeks I found out that he had been on Plenty of Fish the dating app. Which is where we met to begin with. He tried to lie about it but ended up telling me that he was on it just to look because we had a fight and he needed a distraction. He admitted to me that he lied. Okay. I forgave him, he promised to not do it again. Tonight, however, I go in to my account just to see if he had been active since he swore he had given it up. He swears that he forgot his password and that he is being hacked by someone. So I go in to check and he blocked me on the app so I created a whole new profile with a new name to see if he would respond, or to see if it's true that he's being hacked. Much to my despair he did indeed reply. He is now talking to ME as this new girl. He even went as far as to not only give me his phone number but set up a date with the fake me this weekend. Mind you, he told the real me that he couldn't come visit me this weekend because he still doesn't have a car and he has no money that he will come the weekend after next. At the same time he told the fake me that he was getting a car this weekend and would like to take me on a date so we set a time and a place. The real me is absolutely heart broken because as I'm getting texts from him to the fake me he is texting the real me that he will never hurt me and that he loves me and wants to spend the rest of his life with me. However, he is simultaneously telling the fake me that he wants to get serious and that we should delete POF (Plenty of Fish) because he wants to have a real relationship with me. I'm absolutely at a loss for words because the fake me asked if he had children and he said, "no, I haven't met the right girl to settle down with yet, I'm hoping it will be you." All the while, he's telling the real me that I should trust him, that he's going to take care of me and the baby. Ladies I love this man... and I thought he loved me. Is it possible for him to love me and talk to somebody else in a romantic way? Should I leave him and confront him about it? Or should I not confront him about it before going in the date as myself and catching him in the act of cheating on me? Or should I not go on the date and stay with him even knowing that he is cheating on me? Or should I just leave him altogether and not even tell him that I caught him cheating? Please leave you opinions and thoughts! I don't know what to do so I need you to help me.